1473435484416 has 1008 divisors, whose sum is σ = 5188526751744. Its totient is φ = 408778223616.

The previous prime is 1473435484403. The next prime is 1473435484421. The reversal of 1473435484416 is 6144845343741.

1473435484416 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 43 + 548 + 44 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1473435484416² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11601854145 + ... + 11601854271.

It is an arithmetic number, because the mean of its divisors is an integer number (5147347968).

Almost surely, 2^{1473435484416} is an apocalyptic number.

1473435484416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1473435484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594263375872).

1473435484416 is an abundant number, since it is smaller than the sum of its proper divisors (3715091267328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1473435484416 is an equidigital number, since it uses as much as digits as its factorization.

1473435484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 1473435484416 in words is "one trillion, four hundred seventy-three billion, four hundred thirty-five million, four hundred eighty-four thousand, four hundred sixteen".